papers/preprints/artículos

 
 
  1. 1.
    Geometry of Truncated Symmetric Products and Real Roots of Real Polynomials,
    Bull. London Math. Soc. 30 (1998) no. 2, 159-165.

  2. 2.
    Spaces of Real Algebraic Cycles on CP^n,
    Uspekhi Mat. Nauk 53 (1998), no. 1 (319), 221-222; Russian Math. Surveys 53 (1998), no.1 (319) 217-218.

  3. 3.
    Spaces of Algebraic Cycles and Antiholomorphic Involutions on Projective Spaces,
    Bol. Soc. Mat. Mexicana 6 (2000), 151-170.


  1. 4.
    Spaces of Rational Loops on a Real Projective Space,

Trans. Amer. Math. Soc. 353 (2001), 1959-1970.


  1. 5.
    Short Ropes and Long Knots,
    Topology 41 (2002), 435-450.

  2. 6.

Free Groups and Finite Type Invariants of Pure Braids (with/con S. Willerton), 
Math. Proc. Cambridge Phil. Soc. 132 (2002) 117--130.


  1. 7.
    On Invariants of Morse Knots (with/con T. Stanford),  
    Topology Appl. 121 (2002), 105-118.


  1. 8.

Classical Dynamics in Deformed Spaces (with/con A. Leznov),
J. Phys. A.  36 (2003) 1439-1449.

  1. 9.

On a Map From Pure Braids to Knots (with/con T. Stanford),
J. Knot Theory Ramifications 12 (2003), 417-425.

  1. 10.

Lattices in C and Finite Subsets of a Circle,
Amer. Math. Monthly 111 (2004), 357-360.

  1. 11.

Spaces of Rational Maps and the Stone-Weierstrass Theorem,
Topology 45 (2006), 281-293.

  1. 12.

The Notion of Lower Central Series for Loops,
Non-associative algebra and its applications. Proceedings of NONAA-V, Oaxtepec, Taylor and Francis CRC-Press, 2006.

  1. 13.

Dimension Filtration on Loops (with/con J.-M.Pérez Izquierdo), 
Israel J. Math. 158 (2007), 105-118.

  1. 14.

A toy theory of Vassiliev invariants (with/con S.Duzhin), 
Mosc. Math. J. 6  (2006),  85-93.

  1. 15.

Nilpotency and Dimension Series for Loops
Comm. Algebra  36  (2008),  no. 4, 1565--1579.

  1. 16.

Ideals in non-associative universal enveloping algebras of Lie triple systems (with/con J.-M.Pérez Izquierdo),
Forum Math.  22 No. 1 (2010)  1-20.

  1. 17.

Finite type knot invariants based on band--pass and doubled delta moves (with/con J.Conant, T.Stanford),
J. Knot Theory Ramifications 19 no. 3, (2010) 355-384.


  1. 18.
    Formal multiplications, bialgebras of distributions and non-associative Lie theory (with/con J.-M. Pérez-Izquierdo), 
    Transformation Groups 15 (2010) 625-653.


  1. 19.

Truncated simplicial resolutions and spaces of rational maps,
Quarterly Journal of Mathematics, 63 (2012) 181-187.

  1. 20.

Partial monoids and Dold-Thom functors
arXiv:0712.3444v1 [math.AT].


21.

A comment on the integration of Leibniz algebras,

arXiv:1011.5698v1 [math.RA].


  1. 22.
    On the connectivity of finite subset spaces (with/con R. Sadykov), 
    Fundamenta Mathemaicae 217 (2012) 279-282.


  1. 23.

Approximations of periodic functions to R^n by curvatures of closed curves, (with/con R. Sadykov)
arXiv:1205.5892 [math.DG].


  1. 24.
    The space of non-degenerate closed curves in a Riemannian manifold (with/con R.Sadykov), 
    arXiv:1209.4109 [math.DG].


  1. 25.
    Spaces of morphisms from a projective space to a toric variety (with/con E.Munguía-Villanueva), 
    arXiv:1210.2795 [math.AT].


  1. 26.
    Hopf algebras in non-associative Lie theory (with/con J.M.Pérez Izquierdo and/y I.P.Shestakov), 
    arXiv:1307.7635 [math.RA].

 

the links are to the preliminary versions of the papers / los vínculos son a las versiones preliminares